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Matrices

Short Answer Type

31. For what values of ,x and y are the following matrices equal 7

straight A equals open square brackets table row cell 2 straight x plus 1 end cell cell 3 straight y end cell row 0 cell straight y squared minus 5 straight y end cell end table close square brackets comma space space straight B equals open square brackets table row cell straight x plus 3 end cell cell straight y squared plus 2 end cell row 0 cell negative 6 end cell end table close square brackets

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32.

If $open square brackets table row cell straight x minus straight y end cell straight z row cell 2 straight x minus straight y end cell straight w end table close square brackets equals open square brackets table row cell negative 1 end cell 4 row 0 5 end table close square brackets$ find .x. y. z .w.

94 Views

Multiple Choice Questions

33. Which of the given values of x and y make the following pair of matrices equal

open square brackets table row cell 3 straight x plus 7 end cell 5 row cell straight y plus 1 end cell cell 2 minus 3 straight x end cell end table close square brackets. open square brackets table row 0 cell straight y minus 2 end cell row 8 4 end table close square brackets

$straight x equals fraction numerator negative 1 over denominator 3 end fraction comma space space straight y space equals 7$
Not possible to find
$straight y equals 7 comma space space space straight x equals fraction numerator negative 2 over denominator 3 end fraction$
$straight y equals 7 comma space space space straight x equals fraction numerator negative 2 over denominator 3 end fraction$

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34.

A - {a._{i j} ]_{m x n} is a square matrix, if

m < n
m > n
m = n
m = n

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35.

The number of all possible matrices of order 3 x 3 with each entry 0 or 1 is.

217 Views

Short Answer Type

36.

If $straight A equals open square brackets table row 2 4 row 3 2 end table close square brackets space and space straight B equals open square brackets table row cell space 1 end cell 3 row cell negative 2 space end cell 5 end table close square brackets$ then find A – B.

151 Views

37.

Given $straight A equals open square brackets table row cell square root of 3 end cell 1 cell negative 1 end cell row 2 3 0 end table close square brackets space and space straight B equals open square brackets table row 2 cell square root of 5 end cell 1 row cell negative 2 end cell 3 cell 1 half end cell end table close square brackets$ , Find A + B.

103 Views

38.
If $straight A equals open square brackets table row 2 3 cell negative 4 end cell row 1 0 6 row cell negative 2 end cell 1 5 end table close square brackets comma space straight B equals open square brackets table row 5 1 2 row 6 cell negative 1 end cell 4 row 5 3 cell negative 4 end cell end table close square brackets$ , find 2A - 3B.

Here

$straight A equals open square brackets table row 2 3 cell negative 4 end cell row 1 0 6 row cell negative 2 end cell 1 5 end table close square brackets comma space straight B equals open square brackets table row 5 1 2 row 6 cell negative 1 end cell 4 row 5 3 cell negative 4 end cell end table close square brackets therefore space space space space space 2 straight A equals straight A equals open square brackets table row 4 6 cell negative 8 end cell row 2 0 12 row cell negative 4 end cell 2 10 end table close square brackets comma space straight B equals open square brackets table row 15 3 6 row 18 cell negative 3 end cell 12 row 15 9 cell negative 12 end cell end table close square brackets therefore space space space 2 straight A minus 3 straight B space equals space open square brackets table row 4 6 cell negative 8 end cell row 2 0 12 row cell negative 4 end cell 2 10 end table close square brackets comma space straight B equals open square brackets table row 15 3 6 row 18 cell negative 3 end cell 12 row 15 9 cell negative 12 end cell end table close square brackets space space space space space space space space space space space space space space space equals space space open square brackets table row cell 4 minus 15 end cell cell 6 minus 3 end cell cell negative 8 minus 6 end cell row cell 2 minus 18 end cell cell 0 plus 3 end cell cell 12 minus 12 end cell row cell negative 4 minus 15 end cell cell 2 minus 9 end cell cell 10 plus 12 end cell end table close square brackets comma equals open square brackets table row cell negative 11 end cell 3 cell negative 14 end cell row cell negative 16 end cell 3 0 row cell negative 19 end cell cell negative 7 end cell 22 end table close square brackets$